<p>Civil infrastructures experience structural vibrations due to dynamic loads, seismic activity, and wind forces. Excessive vibrations can lead to significant displacement and acceleration at the base of structures. To counteract this, structures are equipped with vibration control systems designed to absorb and dissipate vibrational energy. There has been a notable focus on researching and developing both passive and active vibration control devices, particularly aimed at mitigating the effects of wind and seismic activity on buildings and bridges. In, 2002, a two-terminal device known as inerter was proposed for upgradation of traditional passive vibration control devices. In the last decade, considerable research has been focused on controlling seismic vibrations with inerter-based passive devices, which have demonstrated significant potential in enhancing the resilience of structures against seismic forces. This study provides an overview of the working principles and applications of different inerters in vibration control devices. It includes a comprehensive review of the state-of-the-art vibration control of structures, mainly using inerter-based devices. Additionally, the study offers a detailed account of the installation, configuration, and efficiency of various inerter-based devices. It was observed that inerter-based devices offer improved performance, cost-effectiveness, space efficiency, reduced weight, enhanced robustness, and lower maintenance compared to traditional dampers.</p>